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We present a new approach to deal with the one-dimensional (1D) Heisenberg spin chain with spin S = 1. In this approach, by means of the discretized path-integral representation (DPIR), the one-dimensional quantum spin Heisenberg chain is transformed into a classical spin system. Then we use the...
The squeezing properties of the atomic collective phase quadrature operator with respect to a two-level atomic coherent state are discussed in detail. We show that only the X component is squeezed when α is a real number, but, when α is a pure imaginary number, only Y component squeezing occurs.
A Friedmann-Robertson-Walker universe filled with a conformally invariant scalar field is quantized by the reduced phase space method. In the gauge t = R , where R is the scale factor, a complete set of quantum states is exhibited, whose properties are compared to those of the Hartle-Hawking and...
An exact general periodical solution in terms of the Weierstrass elliptic function ℘ is obtained to the nonlinear dissipative ODE governing free surface travelling waves on a viscous convecting liquid layer. This solution may describe, in particular, the bounded periodical wave only in the...
A class of exact solutions are obtained for the problem of N anyons interacting via the N -body potential V(x 1 , x 2 ,…, x N ) = −e 2 (( 1 N ) Σ i
We have solved a set of self-consistency equations for the three-band model describing electrons coupled strongly by antiferromagnetic correlations in a single CuO 2 layer. Strong but finite Hubbard correlations are taken into account by using a random phase approximation for the electronic...
Pulse propagation of a scalar wave field in discrete random media near resonant scattering is considered on the basis of a modified radiative transfer equation with weak time dispersion in coherent and incoherent scattering. This equation is exactly resolved in terms of the resonant point...
Driving trajectories to a desirable attractor for dynamical systems with multiple coexisting attractors has been a challenging problem in the field of chaos control. We develop an algorithm to steer most trajectories to the desirable attractor by using only small feedback control. The idea is to...
The coupled nonlinear electrodynamics of an isotropic, ultraclean type-II superconductor is examined. A theory for weakly nonlinear but strongly dispersive wave propagation in an Abrikosov vortex lattice of a high-temperature superconductor is developed. In the ultraclean regime the Hall force...
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